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Finding the Fourth Proportional to 7,006.60, 9,668.75 and 4,353.95

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Solution

The fourth proportional to 7,006.60, 9,668.75 and 4,353.95 is: 6,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.60 : 9,668.75 = 4,353.95 : x
  2. Step 2: Convert to fraction form
    7,006.60/9,668.75 = 4,353.95/x
  3. Step 3: Cross multiply
    7,006.60x = 9,668.75 × 4,353.95
  4. Step 4: Simplify right side
    7,006.60x = 42,097,205.72
  5. Step 5: Solve for x
    x = 42,097,205.72/7,006.60
  6. Step 6: Final answer
    x = 6,008.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.